Archeologists can determine the age of artifacts made of wood or bone by measuring the concentration of radioactive isotope 14C present in the object. The amount of isotope decreases in a first-order process. If 15.5% of the original amount of 14C is present in a wooden tool at the time of analysis, what is the age of the tool

1377.8years

Explanation:

Using

0.693/t1/2 = 2.303/t log Ao/A

Where t1/2= half life

t= time or age of the bone

Ao= amount of radioactive material at time t=0

A= amount of radioactive material at time t

0.693/5670 = 2.303/t log Ao/Ao-0.155Ao

0.693/5670= 2.303/t log Ao/0.845Ao

0.693/5670= 2.303/t log 1/0.845

0.693/5670= 0.1684/t

t= 1377.8years

the correct option is c.

isotopes refers to different forms of the same element with the same atomic number but different mass number as a result of difference in their neutron numbers. isotopes have different relative atomic mass but share the same chemical properties.